Respuesta :

Instantaneous rate of change of f(x) at x = 4 is -2552

Step-by-step explanation:

We have f(x)= x² - 2x⁵

We need to find the instantaneous rate of change of f(x) at x=4

Let us take derivative,

                f'(x)= 2x - 10x⁴

Now we need to find f'(4)

Substituting x = 4

We have

              f'(4)= 2 x 4 - 10 x 4⁴

               f'(4)= 8 - 2560

              f'(4)= -2552

Instantaneous rate of change of f(x) at x = 4 is -2552            

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